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Finding the Fourth Proportional to 1,704.76, 2,351.78 and 1,107.21

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Solution

The fourth proportional to 1,704.76, 2,351.78 and 1,107.21 is: 1,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.76 : 2,351.78 = 1,107.21 : x
  2. Step 2: Convert to fraction form
    1,704.76/2,351.78 = 1,107.21/x
  3. Step 3: Cross multiply
    1,704.76x = 2,351.78 × 1,107.21
  4. Step 4: Simplify right side
    1,704.76x = 2,603,921.77
  5. Step 5: Solve for x
    x = 2,603,921.77/1,704.76
  6. Step 6: Final answer
    x = 1,527.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.